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Finding the Third Proportional to 4,062,016,904 and 8,845,162,112

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Solution

The third proportional to 4,062,016,904 and 8,845,162,112 is: 19,260,602,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062,016,904 : 8,845,162,112 = 8,845,162,112 : x
  2. Step 2: Convert to fraction form
    4,062,016,904/8,845,162,112 = 8,845,162,112/x
  3. Step 3: Cross multiply
    4,062,016,904x = 8,845,162,112 × 8,845,162,112
  4. Step 4: Simplify right side
    4,062,016,904x = 78,236,892,787,560,300,544
  5. Step 5: Solve for x
    x = 78,236,892,787,560,300,544/4,062,016,904
  6. Step 6: Final answer
    x = 19,260,602,463.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.